You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: p > p2 Ha: P₁ P2 You obtain a sample from the first population with 594 successes and 78 failures. You obtain a sample from the second population with 558 successes and 44 failures. The test statistic is... O in the critical region not in the critical region critical value = test statistic = This test statistic leads to a decision to... O reject the null hypothesis fail to reject the null hypothesis [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.

Identify test statistic  Identify P value Identify a conclusion  Fail to reject H0... Reject H0....

You wish to test the following daim (Ha) at a significance level of a = 0.05. Ho:P1 P2 You obtain a sample from the first population with 422 successes and 126 failures. You obtain a sample from the second population with 385 successes and 176 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy]

You wish to test the following claim (H) at a significance level of a = 0.001. Ho: P₁ ≤ P2 Ha: P₁ P2 You obtain 194 successes in a sample of size n₁ in a sample of size n₂ = 365 from the second population. - test statistic = p-value = 240 from the first population. You obtain 273 successes [three decimal accuracy] [three decimal accuracy]

You wish to test the following claim (Ha) at a significance level of a = Ho: P₁ = P2 Ha: P₁ P2 You obtain a sample from the first population with 120 successes and 403 failures. You obtain a sample from the second population with 39 successes and 278 failures. The test statistic is... in the critical region O not in the critical region critical value = ± test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis = 0.005. O There is not sufficient evidence to support second population proportion. [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is not equal to the second population proportion. first population proportion not equal to the

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You wish to test the following claim (H) at a significance level of a = 0.001. H₂: P₁ = P2 Ha: P₁ P2 You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value= The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data…

You wish to test the following daim (Ha) at a significance level of a = 0.005. H.:P1 > P2 Ha:P1 < P2 You obtain a sample from the first population with 303 successes and 238 failures. You obtain a sample from the second population with 155 successes and 79 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. O There is not sufficient evidence to support that the first population proportion is less than the second population proportion.

You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho: P1 = P2 Ha: P₁ P2 You obtain 690 successes in a sample of size ₁ = 755 from the first population. You obtain 529 successes in a sample of size n2 = 603 from the second population. What is the critical value for this test? (Round to three decimal places.) Critical value = What is the test statistic for this sample? (Round to three decimal places.) Test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... O reject the null O fail to reject the null As such, the final conclusion is that... O The sample data support the claim that the first population proportion is greater than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.